Question

The animal rescue has 3 cats for

every 8 dogs. If there are 20 more
dogs than cats, how many dogs are
there?
dogs

Answer 1

Let cats be x

• Dogs be x+20

ATQ

`\\ \sf\longmapsto (x)/(x+20)=(3)/(8)`

`\\ \sf\longmapsto 8x=3(x+20)`

`\\ \sf\longmapsto 8x=3x+60`

`\\ \sf\longmapsto 8x-3x=60`

`\\ \sf\longmapsto 5x=60`

`\\ \sf\longmapsto x=(60)/(5)`

`\\ \sf\longmapsto x=12`

`\\ \sf\longmapsto x+20=12+20=32`

Answer 2

32

Explanation:

8-3=5

20÷5=4 sets

Hence, no. of dogs=4×8

=32